There are 6 books of physics, 3 of chemistry and 4 of biology. Number of ways in which these books can be placed on a shelf if the books of the same subject are to be together is
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Solution
We need to arrange book such that books of same subjects are together
The units of physics, chemistry and biology books can be arranged in =3! Ways
In set of physics book, the books can be arranged in 6! Ways=720 ways
In set of chemistry book, the books can be arranged in 3! Ways= 6 ways
In set of biology book, they can be arranged in 4! Ways=24 ways
The total number of ways the books can be arranged=3!×6!×3!×4! =622080 ways